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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.14927 |
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| _version_ | 1866910006908026880 |
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| author | Goodwin, Aaron |
| author_facet | Goodwin, Aaron |
| contents | We study compactifications of the moduli space of a plane cubic curve marked by \(n\) labeled points up to projective equivalence via Geometric Invariant Theory (GIT). Specifically, we provide a complete description of the GIT walls and show that the moduli-theoretic wall-crossing can be understood through analysis of the singularities of the plane curves and the position of the points. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_14927 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Compact Moduli Spaces of Marked Cubic Plane Curves Goodwin, Aaron Algebraic Geometry We study compactifications of the moduli space of a plane cubic curve marked by \(n\) labeled points up to projective equivalence via Geometric Invariant Theory (GIT). Specifically, we provide a complete description of the GIT walls and show that the moduli-theoretic wall-crossing can be understood through analysis of the singularities of the plane curves and the position of the points. |
| title | Compact Moduli Spaces of Marked Cubic Plane Curves |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2501.14927 |